14440401442400 has 144 divisors (see below), whose sum is σ = 35683890303600. Its totient is φ = 5705626460160.

The previous prime is 14440401442267. The next prime is 14440401442427. The reversal of 14440401442400 is 424410404441.

14440401442400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72453284 + ... + 72652316.

It is an arithmetic number, because the mean of its divisors is an integer number (247804793775).

Almost surely, 2^{14440401442400} is an apocalyptic number.

14440401442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14440401442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17841945151800).

14440401442400 is an abundant number, since it is smaller than the sum of its proper divisors (21243488861200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14440401442400 is a wasteful number, since it uses less digits than its factorization.

14440401442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200161 (or 200148 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 14440401442400 its reverse (424410404441), we get a palindrome (14864811846841).

The spelling of 14440401442400 in words is "fourteen trillion, four hundred forty billion, four hundred one million, four hundred forty-two thousand, four hundred".